{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hidden Markov Models\n",
    "\n",
    "A Hidden Markov Model (HMM) is a probabilistic model for sequential data that assumes the existence of a latent variable ${\\bf z}$ that forms a Markov Chain with previous latent variables samplez"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![hmm](https://imgur.com/1YC0iu0.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import multivariate_normal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\"\n",
    "plt.rcParams[\"axes.spines.right\"] = False\n",
    "plt.rcParams[\"axes.spines.top\"] = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sampling from an HMM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "initial_probs = np.array([0.3, 0.2, 0.5])\n",
    "\n",
    "# transition matrix\n",
    "A = np.array([\n",
    "    [0.3, 0.4, 0.3],\n",
    "    [0.1, 0.6, 0.3],\n",
    "    [0.2, 0.3, 0.5]\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "S1 = np.array([\n",
    "    [1.1, 0],\n",
    "    [0, 0.3]\n",
    "])\n",
    "\n",
    "S2 = np.array([\n",
    "    [0.3, -0.5],\n",
    "    [-0.5, 1.3]\n",
    "])\n",
    "\n",
    "S3 = np.array([\n",
    "    [0.8, 0.4],\n",
    "    [0.4, 0.5]\n",
    "])\n",
    "\n",
    "\n",
    "mu_collection = np.array([\n",
    "    [0.3, 0.3],\n",
    "    [0.8, 0.5],\n",
    "    [0.3, 0.8]\n",
    "])\n",
    "\n",
    "cov_collection = np.array([S1, S2, S3]) / 60"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 256,
       "width": 380
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Xgrid = np.mgrid[0:1:0.01, 0:1:0.01]\n",
    "colors = [\"tab:green\", \"tab:blue\", \"tab:red\"]\n",
    "\n",
    "for k, (mu, S, color) in enumerate(zip(mu_collection, cov_collection, colors)):\n",
    "    N = multivariate_normal(mean=mu, cov=S)\n",
    "    Z = np.apply_along_axis(N.pdf, 0, Xgrid)\n",
    "    plt.contour(*Xgrid, Z, levels=3, colors=color, linewidths=3)\n",
    "    plt.text(*(mu + 0.19), f\"$k$={k + 1}\", fontsize=13, horizontalalignment=\"right\")\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(0, 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(314)\n",
    "z = np.array([0, 1, 2])\n",
    "# Choose an initial latent variable Z1\n",
    "z1 = np.random.choice(z, p=initial_probs)\n",
    "# Sample the corresponding observation x1\n",
    "N = multivariate_normal(mu_collection[z1], cov_collection[z1])\n",
    "x1 = N.rvs()\n",
    "# Choose the state of the variable z2 according to the\n",
    "# transition probabilities p(z2|z1)\n",
    "z2 = np.random.choice(z, p=A[z1])\n",
    "# Once we know z2, we can sample x2 and so on\n",
    "N = multivariate_normal(mu_collection[z2], cov_collection[z2])\n",
    "x2 = N.rvs()\n",
    "# ..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ==All together==\n",
    "np.random.seed(314)\n",
    "n_samples = 50\n",
    "z = np.array([0, 1, 2])\n",
    "\n",
    "# Initial latent variable\n",
    "zi = np.random.choice(z, p=initial_probs)\n",
    "\n",
    "samples = np.zeros((n_samples, 2))\n",
    "color_samples = []\n",
    "\n",
    "for i in range(n_samples):\n",
    "    N = multivariate_normal(mu_collection[zi], cov_collection[zi])\n",
    "    samples[i] = N.rvs()\n",
    "    \n",
    "    color = colors[zi]\n",
    "    color_samples.append(color)\n",
    "    \n",
    "    zi = np.random.choice(z, p=A[zi])\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 256,
       "width": 603
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n",
    "\n",
    "Xgrid = np.mgrid[0:1:0.01, 0:1:0.01]\n",
    "colors = [\"tab:green\", \"tab:blue\", \"tab:red\"]\n",
    "\n",
    "for k, (mu, S, color) in enumerate(zip(mu_collection, cov_collection, colors)):\n",
    "    N = multivariate_normal(mean=mu, cov=S)\n",
    "    Z = np.apply_along_axis(N.pdf, 0, Xgrid)\n",
    "    ax[0].contour(*Xgrid, Z, levels=3, colors=color, linewidths=3)\n",
    "    ax[0].text(*(mu + 0.19), f\"$k$={k + 1}\", fontsize=13, horizontalalignment=\"right\")\n",
    "    \n",
    "ax[0].set_xlim(0, 1)\n",
    "ax[0].set_ylim(0, 1)\n",
    "\n",
    "ax[1].set_xlim(0, 1)\n",
    "ax[1].set_ylim(0, 1)\n",
    "\n",
    "\n",
    "ax[1].plot(*samples.T, c=\"black\", alpha=0.3, zorder=1)\n",
    "ax[1].scatter(*samples.T, c=color_samples, s=80, zorder=2);\n",
    "plt.savefig(\"/Users/gerardoduran/Desktop/HMM.png\", dpi=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Maximum Likelihood for the HMM\n",
    "\n",
    "The likelihood function for an HMM is given by\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "    p({\\bf X} \\vert \\boldsymbol\\theta) &= \\sum_{{\\bf Z}} p({\\bf X}, {\\bf Z} \\vert \\boldsymbol\\theta) \\\\\n",
    "    &= \\sum_{\\bf Z} p({\\bf Z}\\vert \\boldsymbol\\pi, {\\bf A})p({\\bf X}\\vert {\\bf Z}, \\boldsymbol\\phi) \\\\\n",
    "    &= \\sum_{{\\bf z}_1, \\ldots, {\\bf z}_N} \\left[p({\\bf z}_1\\vert\\boldsymbol\\pi) \\prod_{n=1}^N p({\\bf z}_n\\vert {\\bf z}_{n-1}, {\\bf A})\\prod_{m=1}^Np({\\bf x}_m\\vert {\\bf z}_m, \\boldsymbol\\phi)\\right]\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "Note that\n",
    "1. The joint distribution of the likelihood does not factorize over $n$;\n",
    "2. summations over ${\\bf z}_n$ are not independent;\n",
    "3. **it is computationally intractable to perform summations explicitly**\n",
    "\n",
    "To further understand 3., consider that the summation of the likelihood considers $N$ variables, each of which has $K$ states. Hence, we would need to perform $K^N$ summations. To illustrate this point, the following table considers different scenarios for $K$ and $N$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1.0</th>\n",
       "      <th>10.0</th>\n",
       "      <th>100.0</th>\n",
       "      <th>250.0</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1.0</th>\n",
       "      <td>1.0</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>1.000000e+00</td>\n",
       "      <td>1.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.0</th>\n",
       "      <td>2.0</td>\n",
       "      <td>1.024000e+03</td>\n",
       "      <td>1.267651e+30</td>\n",
       "      <td>1.809251e+75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.0</th>\n",
       "      <td>3.0</td>\n",
       "      <td>5.904900e+04</td>\n",
       "      <td>5.153775e+47</td>\n",
       "      <td>1.906837e+119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5.0</th>\n",
       "      <td>5.0</td>\n",
       "      <td>9.765625e+06</td>\n",
       "      <td>7.888609e+69</td>\n",
       "      <td>5.527148e+174</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10.0</th>\n",
       "      <td>10.0</td>\n",
       "      <td>1.000000e+10</td>\n",
       "      <td>1.000000e+100</td>\n",
       "      <td>1.000000e+250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12.0</th>\n",
       "      <td>12.0</td>\n",
       "      <td>6.191736e+10</td>\n",
       "      <td>8.281797e+107</td>\n",
       "      <td>6.241824e+269</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      1.0           10.0           100.0          250.0\n",
       "1.0     1.0  1.000000e+00   1.000000e+00   1.000000e+00\n",
       "2.0     2.0  1.024000e+03   1.267651e+30   1.809251e+75\n",
       "3.0     3.0  5.904900e+04   5.153775e+47  1.906837e+119\n",
       "5.0     5.0  9.765625e+06   7.888609e+69  5.527148e+174\n",
       "10.0   10.0  1.000000e+10  1.000000e+100  1.000000e+250\n",
       "12.0   12.0  6.191736e+10  8.281797e+107  6.241824e+269"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = np.array([[1, 10, 100, 250]], dtype=np.float128).T\n",
    "K = np.array([[1, 2, 3, 5, 10, 12]], dtype=np.float128).T\n",
    "\n",
    "# (Observations, States)\n",
    "pd.DataFrame(np.power(K, N.T), index=K.ravel(), columns=N.ravel())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The number of terms in the summation [of the maximum likelihood] grows exponentially with the lenght of the chain"
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